The number 60398
60398 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 23 × 101. Divisors (16): 1, 2, 13, 23, 26, 46, 101, 202, 299, 598, 1313, 2323, 2626, 4646, 30199, 60398.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60398: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.
- 2
60398 is composite. Its prime factorisation is
- 3
The divisors add up to 102816; without 60398 itself that is 42418, so 60398 is deficient (42418 is less than 60398). Euler's totient φ(60398) = 26400 numbers up to 60398 share no factor with it.
- 4
The digits of 60398 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60398 = 2 \times 13 \times 23 \times 101 \]
60398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102816 |
| Euler totient φ(n) | 26400 |
| Square | 3647918404 |
| Cube | 220326975764792 |
| Square root | 245.760046 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.0398 × |
60398 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and ninety-eight |
| Binary (base 2) | 1110101111101110 |
| Octal (base 8) | 165756 |
| Hexadecimal (base 16) | EBEE |
| Base 3 | 10001211222 |
| As time | 60398 seconds = 16 h 46 min 38 s |
Is 60398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60398 ÷ 2 = 30199) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60398 a prime number?
No. 60398 = 2 × 13 × 23 × 101, so it is divisible by 2.
What are the factors of 60398?
1, 2, 13, 23, 26, 46, 101, 202, 299, 598, 1313, 2323, 2626, 4646, 30199, 60398.
What is 60398 in binary?
1110101111101110 (hexadecimal EBEE, octal 165756).
What is the square root of 60398?
About 245.7600.
Is 60398 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 60398?
60398 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.